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Difficulty: EasyDirection and Distance Test

Rohan walks 12 km12\text{ km} North from his house. He then turns right and walks 5 km5\text{ km}, turns right again and walks 12 km12\text{ km}, and finally turns left and walks 4 km4\text{ km}. In which direction is Rohan located with respect to his starting house?

  1. EastAnswer
  2. B
    West
  3. C
    North
  4. D
    South

Answer

Rohan is located directly East of his starting house.
Starting at (0,0)(0,0), moving North 12 km12\text{ km} reaches (0,12)(0,12). Turning right (East) 5 km5\text{ km} reaches (5,12)(5,12). Turning right (South) 12 km12\text{ km} returns to the baseline at (5,0)(5,0). Turning left (East) 4 km4\text{ km} ends at (9,0)(9,0). Since the y-coordinate is 00 and the x-coordinate is +9+9, Rohan is directly East of his starting house.

Step-by-Step Solution

1
Set the starting house as the origin (0,0)(0, 0) and trace the first movement North.
Walking 12 km12\text{ km} North reaches coordinates (0,12)(0, 12).
North represents movement along the positive y-axis.
2
Turn right and walk 5 km5\text{ km}.
A 90∘90^\circ clockwise turn from North is East, reaching coordinates (5,12)(5, 12).
Right turn when facing North changes orientation to East.
3
Turn right again and walk 12 km12\text{ km}.
A 90∘90^\circ clockwise turn from East is South, reaching coordinates (5,0)(5, 0).
Right turn when facing East changes orientation to South. Moving 12 km12\text{ km} South cancels out the initial 12 km12\text{ km} North.
4
Turn left and walk 4 km4\text{ km}.
A 90∘90^\circ counter-clockwise turn from South is East, reaching final coordinates (9,0)(9, 0).
Left turn when facing South reorients towards East.

Key Concept

Direction and Distance Vector Tracking
Estimated Time:45s
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Topics

Direction and Distance Test

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